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SUMMARY:Graded Lie algebras and representations of p-adic groups - Beth Ro
 mano
DTSTART:20171101T163000Z
DTEND:20171101T173000Z
UID:TALK84581@talks.cam.ac.uk
CONTACT:Christopher Brookes
DESCRIPTION:Given a reductive group G over a finite extension k of Q_p\, 
 the representation theory of G(k) is well\nunderstood as long as p is larg
 e enough. Yet there are very few constructions of representations for\narb
 itrary p and arbitrary G. Reeder and Yu have recently given a construction
  of certain "epipelagic"\nrepresentations of G(k) that works uniformly for
  all p\, but their construction depends on the existence\nof certain stabl
 e vectors in representations coming from graded Lie algebras in characteri
 stic p. The\nclassification of these stable vectors is still incomplete i
 n the case when p is small. I will talk about\nrecent progress in classify
 ing these stable vectors\, including new examples in the case when G is of
 \ntype F4.
LOCATION:MR12
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